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2130003137 is a prime number
BaseRepresentation
bin111111011110101…
…0100010011000001
312111102222101000002
41332331110103001
513330240100022
6551205205345
7103532504453
oct17675242301
95442871002
102130003137
119a3370979
124b5400855
1327c3943b2
14162c5a2d3
15c6ee2092
hex7ef544c1

2130003137 has 2 divisors, whose sum is σ = 2130003138. Its totient is φ = 2130003136.

The previous prime is 2130003047. The next prime is 2130003157. The reversal of 2130003137 is 7313000312.

It is a happy number.

It is an a-pointer prime, because the next prime (2130003157) can be obtained adding 2130003137 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1720507441 + 409495696 = 41479^2 + 20236^2 .

It is a cyclic number.

It is not a de Polignac number, because 2130003137 - 224 = 2113225921 is a prime.

It is not a weakly prime, because it can be changed into another prime (2130003157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1065001568 + 1065001569.

It is an arithmetic number, because the mean of its divisors is an integer number (1065001569).

Almost surely, 22130003137 is an apocalyptic number.

It is an amenable number.

2130003137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2130003137 is an equidigital number, since it uses as much as digits as its factorization.

2130003137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 378, while the sum is 20.

The square root of 2130003137 is about 46151.9570224276. The cubic root of 2130003137 is about 1286.6489828691.

Adding to 2130003137 its reverse (7313000312), we get a palindrome (9443003449).

The spelling of 2130003137 in words is "two billion, one hundred thirty million, three thousand, one hundred thirty-seven".